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Finding the Third Proportional to 213,680 and 451,498

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Solution

The third proportional to 213,680 and 451,498 is: 953,998.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,680 : 451,498 = 451,498 : x
  2. Step 2: Convert to fraction form
    213,680/451,498 = 451,498/x
  3. Step 3: Cross multiply
    213,680x = 451,498 × 451,498
  4. Step 4: Simplify right side
    213,680x = 203,850,444,004
  5. Step 5: Solve for x
    x = 203,850,444,004/213,680
  6. Step 6: Final answer
    x = 953,998.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.